How to draw a qualitative deformation of a beam or other element subjected to deformation: here are the different aspects to consider for an accurate representation.
Every solid object is characterized by several factors, some of which can be changed while others remain stable. Among these, shape and volume are key elements: the volume of an object remains the same even if its shape changes.
Let’s take the beam of a building as an example . Over time, you can notice that the shape of this support bends due to the load of constant and insistent weights. Although the volume remains the same, the external shape varies. This phenomenon can be represented by a diagram.
So let’s see how to draw a qualitative deformed shape.
Calculate qualitative deformation
When we talk about qualitative deformation , we describe the new shape assumed by a solid body that has undergone changes over time due to continuous external influences, such as loads applied to a support object. To draw the current situation of the solid, it is essential to analyze the primary causes of the loads that have led to this new shape. Furthermore, it is necessary to observe and evaluate the constraint conditions that concern the beam, if we continue with this example.
Before proceeding with the qualitative deformation drawing, it is essential to perform a detailed analysis that allows to highlight every displacement and deformation of the object in question. This includes the analysis of translations, rotations and bending.
Analyze the deformation to draw it
The analysis of the deformation that has occurred in the solid to be represented is essential for an accurate drawing. But how can we perform the necessary calculations to accurately report the current shape of the beam?
When observing structural support, one tends to evaluate mainly the data related to the qualitative level. This means that one does not always consider the displacement values over time, but one observes mainly rotations and translations , taking into account the associated constraints.
However, it is essential to analyze not only the changes in position, but also the physical deformation that causes the change in shape of the beam. Without this data, representing the solid following qualitative deformation is complex.
Tracing qualitative deformation
To design the qualitative deformation of a beam or any other solid, it is essential to consider every type of mutation that occurs in full compliance with the constraints. It is essential to keep in mind that the design of the deformation must include the analysis of the tension fibers , both upper and lower, which influence the bending moment. These aspects are crucial and often more significant than the magnitude of the various displacements of the beam.
In summary, to correctly create a qualitative deformation it is necessary to observe the constraints and loads , derive the relative reactions and draw the graphs that represent them. The most important element is to represent the trend of the taut fibers and the corresponding moment of deformation.
